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Finding the Fourth Proportional to 204.01, 281.15 and 145.69

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Solution

The fourth proportional to 204.01, 281.15 and 145.69 is: 200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.01 : 281.15 = 145.69 : x
  2. Step 2: Convert to fraction form
    204.01/281.15 = 145.69/x
  3. Step 3: Cross multiply
    204.01x = 281.15 × 145.69
  4. Step 4: Simplify right side
    204.01x = 40,960.02
  5. Step 5: Solve for x
    x = 40,960.02/204.01
  6. Step 6: Final answer
    x = 200.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.